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5 September, 07:50

In the pair of equations bx-6y=18 and 2x-3y=9, b is a constant. The system of two equations has infinitely many solutions. What is the value of b

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  1. 5 September, 07:53
    0
    A constant is just a number like 1
  2. 5 September, 07:57
    0
    If this system has infinitely many solutions, then one of the equations is a multiple of the other.

    Compare:

    bx-6y=18

    2x-3y=9

    Try this: Multiply all terms of the second equation by 2. We get:

    4x - 6y = 18. To find b, set bx = 2x and simplify. We discover that b must have the value 2.
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